A class of symmetric-hyperbolic PDEs modelling fluid and solid continua - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles ESAIM: Proceedings and Surveys Year : 2023

A class of symmetric-hyperbolic PDEs modelling fluid and solid continua

Abstract

We generalize a new symmetric-hyperbolic system of PDEs proposed in [ESAIM:M2AN 55 (2021) 807-831] for Maxwell fluids to a class of systems that define unequivocally multi-dimensional visco-elastic flows. Precisely, within a general setting for continuum mechanics, we specify constitutive assumptions i) that ensure the unequivocal definition of motions satisfying widely-admitted physical principles, and ii) that contain [ESAIM:M2AN 55 (2021) 807-831] as one particular realization of those assumptions. The new class can capture the mechanics of various materials, from solids to viscous fluids, possibly with temperature dependence and heat conduction.
Fichier principal
Vignette du fichier
constitutive.pdf (438.38 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04223434 , version 1 (03-10-2023)

Identifiers

  • HAL Id : hal-04223434 , version 1

Cite

Sébastien Boyaval. A class of symmetric-hyperbolic PDEs modelling fluid and solid continua. ESAIM: Proceedings and Surveys, In press. ⟨hal-04223434⟩
81 View
61 Download

Share

Gmail Mastodon Facebook X LinkedIn More